115200333240132 has 192 divisors, whose sum is σ = 326223313920000. Its totient is φ = 30887619176448.

The previous prime is 115200333240071. The next prime is 115200333240151. The reversal of 115200333240132 is 231042333002511.

It is a super-2 number, since 2×115200333240132² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 115200333240132.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5592510369 + ... + 5592530967.

It is an arithmetic number, because the mean of its divisors is an integer number (1699079760000).

Almost surely, 2^{115200333240132} is an apocalyptic number.

115200333240132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115200333240132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163111656960000).

115200333240132 is an abundant number, since it is smaller than the sum of its proper divisors (211022980679868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115200333240132 is a wasteful number, since it uses less digits than its factorization.

115200333240132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31898 (or 31896 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 115200333240132 its reverse (231042333002511), we get a palindrome (346242666242643).

The spelling of 115200333240132 in words is "one hundred fifteen trillion, two hundred billion, three hundred thirty-three million, two hundred forty thousand, one hundred thirty-two".